It seems the european requirement is large cabin, significant larger then e.g. CH53 to move serious vehicles.
On the top end, the old Chinook configuration still seems pretty unbeatable in terms of combined payload, volume, simplicity, cg tolerance, speed..
ILA 2012: Eurocopter carrying out risk-reduction research on Future Transport Helicopter - News - Shephard
Now that Boeing is joining Sikorsky I wonder what Eurocopter will do..